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Finding the Third Proportional to 26,276 and 55,898

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Solution

The third proportional to 26,276 and 55,898 is: 118,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,276 : 55,898 = 55,898 : x
  2. Step 2: Convert to fraction form
    26,276/55,898 = 55,898/x
  3. Step 3: Cross multiply
    26,276x = 55,898 × 55,898
  4. Step 4: Simplify right side
    26,276x = 3,124,586,404
  5. Step 5: Solve for x
    x = 3,124,586,404/26,276
  6. Step 6: Final answer
    x = 118,914.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.